Finding the Third Proportional to 12,662 and 17,382

Step by Step Solution

1. Step 1: Write the proportion equation
   12,662 : 17,382 = 17,382 : x
2. Step 2: Convert to fraction form
   12,662/17,382 = 17,382/x
3. Step 3: Cross multiply
   12,662x = 17,382 × 17,382
4. Step 4: Simplify right side
   12,662x = 302,133,924
5. Step 5: Solve for x
   x = 302,133,924/12,662
6. Step 6: Final answer
   x = 23,861.47